Question

Find the remainders when 3^37^27 when it's divided by 11​

Answer 1

Rem|47^37^27/11|

= Rem|3^37^27/11|

Now Rem|3^5/11| = 1

Rem|37^27/5| = Rem|2^27/5|

= Rem|(2^4)^6x2^3/5|

= Rem|(2^4)^6/5| x Rem|8/5|

= 1 x 3 = 3

=> Rem|3^37^27/11| = Rem|3^3/11|

= Rem|27/11| = 5